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arXiv · 2204.09084

A homogenization result in finite plasticity

Elisa Davoli·Chiara Gavioli·Valerio Pagliari
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Abstract

We carry out a variational study for integral functionals that model the stored energy of a heterogeneous material governed by finite-strain elastoplasticity with hardening. Assuming that the composite has a periodic microscopic structure, we establish the $\Gamma$-convergence of the energies in the limiting of vanishing periodicity. The constraint that plastic deformations belong to $\mathsf{SL}(3)$ poses the biggest hurdle to the analysis, and we address it by regarding $\mathsf{SL}(3)$ as a Finsler manifold.

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Elisa Davoli, Chiara Gavioli, Valerio Pagliari. 2022-04-19. A homogenization result in finite plasticity. https://doi.org/10.1007/s00526-024-02673-0

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